Find the discriminant of the following quadratic equation, and
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    Quadratic Equations

    Multiple Choice QuestionsShort Answer Type

    61. Represent the following situation in the form of a quadratic equation:
    The sum of the ages of a son and his father (in years) is 35 and the product of their ages is 150.
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    62. Represent the following situation in the form of a quadratic equation:
    The product of Aditya’s age in years, five years ago with his age in years 9 years later is 15.
    110 Views
    Answer
    63. Find the discriminant of the following quadratic equation, and hence find the nature of its roots.
    space space 2 straight x squared minus 4 straight x plus 3 equals 0
    115 Views
    Answer
    64. Find the discriminant of the following quadratic equation, and hence find the nature of its roots.
    3 straight x squared minus 2 straight x plus 1 third equals 0
    155 Views
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    65. Find the discriminant of the following quadratic equation, and hence find the nature of its roots.
    2 straight x squared minus 3 straight x plus 5 equals 0
    94 Views
    Answer
    66. Find the discriminant of the following quadratic equation, and hence find the nature of its roots.
    3 straight x squared minus 4 square root of 3 straight x plus 4 equals 0
    102 Views
    Answer
    67. Find the discriminant of the following quadratic equation, and hence find the nature of its roots.
    <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>
    102 Views
    Answer
    68. Find the discriminant of the following quadratic equation, and hence find the nature of its roots.
    2 square root of 3 straight y squared minus 14 straight y plus 4 square root of 3 equals 0
    102 Views
    Answer
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    69. Find the discriminant of the following quadratic equation, and hence find the nature of its roots.
    space space 4 straight y squared minus 2 straight y plus 1 fourth equals 0

    space space 4 straight y squared minus 2 straight y plus 1 fourth equals 0
    Here,      <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>
    Now,               straight D equals straight b squared minus 4 ac
                               equals left parenthesis negative 2 right parenthesis squared minus 4 left parenthesis 4 right parenthesis space open parentheses 1 fourth close parentheses equals space 4 minus 4 space equals space 0
    Since,     D = 0
    Therefore, given quadratic equation has equal roots.
    146 Views
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    70. Find the discriminant of the following quadratic equation, and hence find the nature of its roots.
    2 straight x squared plus 5 square root of 2 straight x plus 6 equals 0
    98 Views
    Answer
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